A189993 Length of the longest run of Ramanujan primes that are consecutive primes < 10^n.

1, 2, 5, 13, 13, 20, 21, 26, 31

Offset: 1

Author

Jonathan Sondow, May 03 2011

Keywords

• nonn

Examples

			In the sequence of primes < 10^3, there is a run of 5 Ramanujan primes, but no longer run, so a(3) = 5.
		

Links

• J. Sondow, Ramanujan primes and Bertrand's postulate Amer. Math. Monthly 116 (2009), 630-635.
• J. Sondow, J. W. Nicholson, and T. D. Noe, Ramanujan Primes: Bounds, Runs, Twins, and Gaps, J. Integer Seq. 14 (2011) Article 11.6.2.

Crossrefs

Cf. A104272 (Ramanujan primes), A189994 (length of the longest run of non-Ramanujan primes < 10^n), A174602 (smallest prime that begins a run of n Ramanujan primes).